What is the Least Common Multiple of 11064 and 11072?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 11064 and 11072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11064 and 11072, than apply into the LCM equation.

GCF(11064,11072) = 8
LCM(11064,11072) = ( 11064 × 11072) / 8
LCM(11064,11072) = 122500608 / 8
LCM(11064,11072) = 15312576

Least Common Multiple (LCM) of 11064 and 11072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11064 and 11072. First we will calculate the prime factors of 11064 and 11072.

Prime Factorization of 11064

Prime Factorization of 11072

Now multiplying the highest exponent prime factors to calculate the LCM of 11064 and 11072.

LCM(11064,11072) = 2⁶ × 3¹ × 461¹ × 173¹
LCM(11064,11072) = 15312576